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Finding the Fourth Proportional to 10,864.96, 16,356.40 and 9,736

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Solution

The fourth proportional to 10,864.96, 16,356.40 and 9,736 is: 14,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.96 : 16,356.40 = 9,736 : x
  2. Step 2: Convert to fraction form
    10,864.96/16,356.40 = 9,736/x
  3. Step 3: Cross multiply
    10,864.96x = 16,356.40 × 9,736
  4. Step 4: Simplify right side
    10,864.96x = 159,245,910.40
  5. Step 5: Solve for x
    x = 159,245,910.40/10,864.96
  6. Step 6: Final answer
    x = 14,656.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.